TY - JOUR AU - Kuniaki Horie AU - Mitsuko Horie TI - The narrow class groups of some $\mathbb Z_p$-extensions over the rationals JO - Acta Arithmetica PY - 2008 SP - 159 EP - 180 VL - 135 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa135-2-5/ DO - 10.4064/aa135-2-5 LA - en ID - 10_4064_aa135_2_5 ER -